λ
Math Directory

5,764,230

2 × 33 × 5 × 37 × 577
Abundant Even Composite

5,764,230 factors as 2 × 3^3 × 5 × 37 × 577. Its 64 positive divisors give a proper-divisor sum of 10,049,850, so this integer is abundant. The Collatz stopping time is 69 steps.

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Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 37 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,814,080
Proper Divisor Sum 10,049,850
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5764229 ← → #5764249

Radix Representation

Decimal 5764230
Binary 10101111111010010000110 (23 bits)
Octal 0o25772206
Hexadecimal 0x57F486

Divisor Catalog (5 of 64)

1 2 3 5 6

Collatz Trajectory (69 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

5,764,230 2,882,115 8,646,346 4,323,173 12,969,520

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